ar X iv : 1 20 1 . 48 19 v 1 [ m at h . O A ] 2 3 Ja n 20 12 PROJECTION DECOMPOSITION IN MULTIPLIER ALGEBRAS

ar X iv : m at h / 01 06 13 1 v 1 [ m at h . O A ] 1 5 Ju n 20 01 INJECTIVE ENVELOPES OF C ∗ - ALGEBRAS AS OPERATOR MODULES

In this paper we give some characterizations of M. Hamana’s injective envelope I(A) of a C∗-algebra A in the setting of operator spaces and completely bounded maps. These characterizations lead to simplifications and generalizations of some known results concerning completely bounded projections onto C∗-algebras. We prove that I(A) is rigid for completely bounded A-module maps. This rigidity yi...

ar X iv : m at h / 04 01 12 6 v 1 [ m at h . N T ] 1 3 Ja n 20 04 THREE LECTURES ON THE RIEMANN ZETA - FUNCTION

ar X iv : m at h - ph / 0 30 10 19 v 1 1 5 Ja n 20 03 Which distributions of matter diffract ? — Some answers

ar X iv : h ep - t h / 06 12 12 9 v 3 1 1 Ja n 20 07 STRING COSMOLOGY

ar X iv : m at h / 04 01 23 7 v 1 [ m at h . C O ] 1 9 Ja n 20 04 1 Enumerative properties of generalized associahedra

Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences. A precise enumerative relation with the lattices of generalized noncrossing partitions is conjectured and some evidence is given.